University of Birmingham, School of Mathematics, Combinatorics

Alberto Espuny Díaz

I am a PhD student at the University of Birmingham under the supervision of Daniela Kühn and Deryk Osthus. My research interests lie in combinatorics, particularly in extremal and probabilistic combinatorics and their interface with computer science, as well as in additive combinatorics. Between 2010 and 2015 I completed my Bachelor's degrees in Mathematics and Aerospace Engineering at the Universitat Politècnica de Catalunya (Spain). I also completed a Master's degree in Advanced Mathematics and Mathematical Engineering between 2015 and 2016.

Contact Details

Postal Address: School of Mathematics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK

Email: axe673 [at] bham [dot] ac [dot] uk

Office: Watson Building, Room 312

Publications

Submitted preprints:

• Dirac's theorem for random regular graphs (with Padraig Condon, António Girão, Daniela Kühn and Deryk Osthus)

Papers:

• Resilient degree sequences with respect to Hamilton cycles and matchings in random graphs (with Padraig Condon, Jaehoon Kim, Daniela Kühn and Deryk Osthus, The Electronic Journal of Combinatorics 26 (2019), P4.54. Journal version)
• Edge correlations in random regular hypergraphs and applications to subgraph testing (with Felix Joos, Daniela Kühn and Deryk Osthus, SIAM Journal on Discrete Mathematics 33 (2019), 1837–1863. Journal version)
• Explicit bounds for growth of sets in non-abelian groups (Reports@SCM 3 (2017), 17–26)

Refereed conference publications:

• Resilience with respect to Hamiltonicity in random graphs (with Padraig Condon, António Girão, Jaehoon Kim, Daniela Kühn and Deryk Osthus, Acta Mathematica Universitatis Comenianae 88 (2019), 547–551)
• Entropy versions of additive inequalities (with Oriol Serra, Electronic Notes in Discrete Mathematics 68 (2018), 179–184)

Conferences, Workshops and Seminars

Talks:

• Resilience with respect to Hamiltonicity in random graphs, EUROCOMB 2019, Bratislava, 29 August 2019.
• Dirac's theorem for random regular graphs, British Combinatorial Conference 2019, Birmingham, 2 August 2019.
• Resilient degree sequences with respect to Hamiltonicity in random graphs, The 19th International Conference on Random Structures and Algorithms, Zürich, 18 July 2019.
• Resilience of random graphs with respect to Hamiltonicity, Postgraduate Combinatorial Conference, Oxford, 10 June 2019.
• Resilience with respect to Hamiltonicity in random graphs, British Young Mathematicians Colloquium, Birmingham, 17 April 2019.
• Resilient degree sequences with respect to Hamiltonicity in random graphs, Bristol Combinatorics Seminar, Bristol, 2 April 2019.
• Resilient degree sequences with respect to Hamiltonicity in random graphs, LSE PhD Combinatorics Seminar, London, 22 March 2019.
• Edge correlations in random regular hypergraphs, Winter Combinatorics Meeting at The Open University, Milton Keynes, 20 February 2019.
• Edge correlations in random regular hypergraphs and applications to subgraph testing, LIMDA Joint Seminar, Barcelona, 19 December 2018.
• Resilient degree sequences with respect to Hamiltonicity in random graphs, Combinatorics Seminar, Birmingham, 13 December 2018.
• Edge correlations in random regular hypergraphs, 7th Polish Combinatorial Conference, Będlewo, 24-28 September 2018.
• Versiones entrópicas de desigualdades aditivas, XIX Encuentro Nacional de Estudiantes de Matemáticas, Valencia, 23-28 July 2018.
• Edge correlations in random regular hypergraphs and applications to subgraph testing, 10th International Colloquium on Graph Theory and combinatorics, Lyon, 9-13 July 2018.
• Entropy versions of additive inequalities, Discrete Mathematics Days 2018, Sevilla, 27-29 June 2018.
• Edge correlations in random regular hypergraphs, 25th Postgraduate Combinatorial Conference, London, 4-6 June 2018.
• Testing subgraph-freeness in general graphs, Extremal Combinatorics workshop, Warwick, 18-22 September 2017.
• Buscando triángulos en grafos muy grandes: un ejemplo de property testing, XVIII Encuentro Nacional de Estudiantes de Matemáticas, Sevilla, 24-29 July 2017.
• Progresiones aritméticas de colores, XVII Encuentro Nacional de Estudiantes de Matemáticas, Barcelona, 25-30 July 2016.

Posters:

• Resilient degree sequences with respect to Hamiltonicity in random graphs, University of Birmingham, 28 March 2019 (award for best pure maths poster); London School of Economics and Political Science, 9 May 2019 (award for second best poster).
• Edge correlations in random regular hypergraphs, London School of Economics and Political Science, 10 May 2018 (award for third best poster).

Organiser:

• I was a member of the grants committee for the 2nd BYMAT Conference, held in Madrid between the 20th and the 24th of May 2019.
• I was chair of the organising committee for the Young Mathematicians Colloquium, held in Birmingham on the 18th of April 2018.
• I was coordinator of the organising committee for the XVII Encuentro Nacional de Estudiantes de Matemáticas, held in Barcelona between the 25th and the 30th of July 2016.

Postgraduate Teaching Assistant

• 1st year support class (Spring 2017, Spring 2018)
• Graph Theory (Spring 2018, Autumn 2018, Autumn 2019)
• Combinatorial Optimization (Spring 2018, Spring 2019)
• Integer Programming (Autumn 2017, Autumn 2018, Autumn 2019)
• Numerical Methods and Programming (Spring 2019, Spring 2020)
• Algebra & Combinatorics 2 (Autumn 2016, Autumn 2018)
• Linear Algebra (Autumn 2016)
• Computer lab demonstrator (Autumn 2018, Autumn 2019, Spring 2020)
• LaTeX computer lab demonstrator (Autumn 2017, Autumn 2018, Autumn 2019)
• Postgraduate demonstrator at the Maths Support Centre (from Autumn 2016 until Summer 2019)

Other interesting stuff

• I am editor in chief for TEMat, a Spanish journal for the divulgation of mathematics written by students.
• I am editor for the Arhimede Mathematical Journal, a journal aimed at students working on and training for mathematical Olympiads.
• I am the president of the Young Mathematicians Committee of the Real Sociedad Matemática Española. For any issue related to young mathematicians, please contact at jovenes [at] rsme [dot] es.

Last updated on 8 January 2020